125174082109440 has 544 divisors, whose sum is σ = 492989899078656. Its totient is φ = 26410336911360.

The previous prime is 125174082109429. The next prime is 125174082109459. The reversal of 125174082109440 is 44901280471521.

It is a super-3 number, since 3×125174082109440³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 125174082109440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88757005 + ... + 90156275.

Almost surely, 2^{125174082109440} is an apocalyptic number.

125174082109440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125174082109440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246494949539328).

125174082109440 is an abundant number, since it is smaller than the sum of its proper divisors (367815816969216).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

125174082109440 is an equidigital number, since it uses as much as digits as its factorization.

125174082109440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1399331 (or 1399301 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 48.

The spelling of 125174082109440 in words is "one hundred twenty-five trillion, one hundred seventy-four billion, eighty-two million, one hundred nine thousand, four hundred forty".